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So I pull it by various amounts and I study the spring.
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And I've learned, by studying the spring, that the force it exerts
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is some number k, called a force constant,
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times the amount by which I pull it.
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If I start off the mass in a position
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where the spring is neither expanded nor contracted,
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that's what we like to call x = 0.
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So I pulled it to x = A.
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Now, what I'm told is
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when you pull it to any point x,
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that's the force the spring exerts.
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So, this is part of an independent study.